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Lorico [155]
3 years ago
5

PLEASE HELP! I am having trouble answering the last question.

Mathematics
1 answer:
Archy [21]3 years ago
3 0

9514 1404 393

Answer:

  3rd box: -1 +14a +7h

Step-by-step explanation:

You will need to "simplify" the difference, then do the division by h.

  f(a +h) = (6 -(a +h) +7(a +h)^2) = 6 -a -h +7(a^2 +2ah +h^2)

  f(a +h) = 6 -a +7a^2 -h +14ah +7h^2

Then the difference is ...

  f(a +h) -f(a) = 6 -a +7a^2 -h +14ah +7h^2 -(6 -a -7a^2)

  f(a +h) -f(a) = -h +14ah +7h^2

Dividing this by h, we get ...

  (f(a +h) -f(a))/h = (-h +14ah +7h^2)/h = -1 +14a +7h

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Use Pythagoras’ theorem:
a^2+b^2=c^2
But we rearrange this formula to make it
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The answer is:  " 471 cm² " .
_____________________________________________________
The formula for the surface area, "S.A.", of a "cylinder":

S.A. =  2 π r² + 2 π r h ; 

in which:

"S.A." = "surface area" of the cylinder; for which we wish to solve; 

 π = 3.14 (approximation we shall use) ;

  r = radius = 5 cm (given; from figure); 

  h = height = 2 cm (given; from figure);
______________________________________
To solve for the surface area, "S.A." . let us plug in our known values, and solve:


S.A. =  2 π r²   +    2 π r h  ; 


S.A. = 2 * (3.14) * (5 cm)²  +  2 * (3.14) * (5 cm) * 10 cm)  ;

        = 2 * (3.14) * (5²) * (cm²)   +    2 * (3.14) * 5* 10 * cm² ;

        = 2 * (3.14) * (25) * (cm²)  +    2 * (3.14) * 5* 10 * cm²  ;

        = 157 cm²  +  314 cm²  ;

        =  471 cm² .
________________________________________________
The answer is:  " 471 cm² " .
________________________________________________
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